Problems based on Ages

Quantitative Aptitude (CGL)

Title

45:30

8 of 24 completed

5 of 15 completed

38 of 100 completed

8 of 20 completed

Indian Economy - Understanding the basics of Indian economic system

Ratio of the present age of a motherto that of the daughteris 7 : 1. After 5 years the ratio will become 4 : 1. What is the

difference (in years) in their present ages?

This questions was previously asked in

SSC CGL 16th August 2021 Shift-1

- Let the present age of the mother be \(7x\) and the daughter be \(x\), where \(x\) is a positive integer.

- The current ratio is therefore \(7:1\).

- After 5 years, the mother's age will be \(7x + 5\), and the daughter's age will be \(x + 5\).

- The future ratio is given as \(4:1\).

- Setting up the equation for the future ratio:

\frac{7x + 5}{x + 5} = \frac{4}{1}

- Cross-multiplying, we get:

7x + 5 = 4(x + 5)

- Simplifying, we find:

7x + 5 = 4x + 20 \\

3x = 15 \\

x = 5

- The mother's present age: \(7x = 35\), the daughter's present age: \(x = 5\).

- The difference in their present ages is: \(35 - 5 = 30\).

- Correct Answer: Option:2, 30

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